COMPUTABLE ERROR BOUNDS FOR COLLOCATION METHODS
COMPUTABLE ERROR BOUNDS FOR COLLOCATION METHODS
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Date
1995
Authors
A. H. AHMED
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Abstract
This paper deals with error bounds for numerical solutions of linear ordinary
differential equations by global or piecewise polynomial collocation methods which are based on
consideration of the involved differential operator, related matrices and the residual. It is shown
that significant improvement may be obtained if direct bounds for the error in the solution are
considered. The practical implementation of the theory is illustrated by a selection of numerical
examples.